From Linear SUSY to Constrained Superfields

Abstract

We present a new formalism for finding the low-energy effective Lagrangian of Goldstinos and other fields. This Lagrangian is written using standard superspace and the superfields are constrained to include only the light degrees of freedom. The Goldstino resides in a (constrained) chiral superfield X which is naturally identified at short distances. This allows us to exactly compute the IR behavior of some correlation functions even in strongly coupled theories with SUSY breaking. The Goldstino couplings above the scale of the matter superpartners are determined by identifying X with the standard spurion. At energies below the superpartners' scale, fermions, scalars (including Goldstone bosons) and gauge fields are also described by constrained superfields. Our framework makes it easy to find the leading order terms in the Lagrangian and to control their corrections. It simplifies the derivation of many known results and leads to new ones.

40 pages. v2: references added and minor changes. v3: references added

References in corpus (20)

• Dynamical Supersymmetry Breaking
• Moduli Decays and Gravitinos
• Naive Dimensional Analysis and Supersymmetry
• Higgs Physics as a Window Beyond the MSSM (BMSSM)
• Low-scale supersymmetry breaking: effective description, electroweak breaking and phenomenology
• Comments on the Fayet-Iliopoulos Term in Field Theory and Supergravity
• Signals of a superlight gravitino at hadron colliders when the other superparticles are heavy
• Signals of a superlight gravitino at e^+ e^- colliders when the other superparticles are heavy
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• Goldstino Couplings to Matter
• Aspects of spontaneously broken N = 1 global supersymmetry in the presence of gauge interactions
• On the Interactions of Light Gravitinos
• Phenomenology of a leptonic goldstino and invisible Higgs boson decays
• Couplings in Pseudo-Supersymmetry
• Effective Lagrangians and Light Gravitino Phenomenology
• Non-linear supersymmetry and intersecting D-branes
• The Supercurrent In Supersymmetric Field Theories
• Nonlinear Realization of Supersymmetry and Superconformal Symmetry
• Nonlinear Supersymmetric Effective Lagrangian and Goldstino Interactions at High Energies
• Decoupling and Destabilizing in Spontaneously Broken Supersymmetry

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